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Finding the Fourth Proportional to 98,223.88, 147,346.86 and 31,648.84

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Solution

The fourth proportional to 98,223.88, 147,346.86 and 31,648.84 is: 47,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,223.88 : 147,346.86 = 31,648.84 : x
  2. Step 2: Convert to fraction form
    98,223.88/147,346.86 = 31,648.84/x
  3. Step 3: Cross multiply
    98,223.88x = 147,346.86 × 31,648.84
  4. Step 4: Simplify right side
    98,223.88x = 4,663,357,196.64
  5. Step 5: Solve for x
    x = 4,663,357,196.64/98,223.88
  6. Step 6: Final answer
    x = 47,476.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.